Find the inflection points,if any,of the following function.

小子20072022-10-04 11:39:541条回答

Find the inflection points,if any,of the following function.Otherwise,answer no solution?
f(x) = x^4 - 2x^3 +5
f(x) = 2/(1+x^2)

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MAY23 共回答了14个问题 | 采纳率78.6%
f'(x) = 4x³ - 6x²
f"(x) = 12x² - 12x = 12x(x - 1) = 0
x = 0 or x = 1
x < 0,f"(x) > 0
0 < x < 1,f"(x) < 0
f(0) = 5,(0,5) is one inflection point
x > 1,f"(x) > 0
f(1) = 4,(1,4) is the other inflection point


f(x) = 2/(1 + x²),f'(x) = -4x(1 + x²)²
f"(x) = 4(3x² - 1)/(1 + x²)³ = 0
x = ±1/√3
x < -1/√3,f"(x) > 0
-1/√3 < x < 1/√3,f"(x) < 0
f(-1/√3) = 3/2,(-1/√3,3/2) is one inflection point
x > 1/√3,f"(x) > 0
f(1/√3) = 3/2,(1/√3,3/2) is the other inflection point
1年前

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affix 分成 inflection 和 derivation
derivation 分为 prefix 和 suffix
请问: inflectional affix 算不算 suffix?
展颜1年前1
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答:算.
affix 为词缀,按缀位分为 prefix (前缀)和 suffix(后缀);
按缀形分成 inflection (屈折词)和 derivation (衍生词)
derivation 分为 prefix 和 suffix,如:happy 加suffix为happily,加prefix为unhappy.
inflection 只在词尾加词缀,表时态,数,格等变化,如:ask,asks,asking,asked,etc.
所以inflectional affix 一定是 suffix.
What is the difference between derivation and inflection?Ill
What is the difference between derivation and inflection?Illustrate with examples.
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derivation:[ deri'veiʃən ]
n.引出,诱导,来历
Examples:
1.A line of descent; derivation.
血缘鉴定血统的联系;来历
2.Place of origin; derivation.
起源起源的地方;出处
3.Taxpayer:what do you mean by the method of derivation?
纳税人:什么是以支出换算收入?
inflection:[ in'flekʃən ]
n.屈曲,变调,音调变化
Examples:
1.The violin has a poor inflection.
这把小提琴的音调不准.
2.In English,some questions have a rising inflection.
在英语中有些疑问句需要用升调.
3.A falling inflection of the voice,as at the end of a sentence.
声音降落,降句调发音时下降的音调
4.In certain languages,the inflection of nouns,pronouns,and adjectives in categories such as case,number,and gender.
词形变化某些语言中,名词,代词和形容词在格,数和性等方面的词形变化
请教一个英语语言学问题inflection is a particular way of word formations
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inflection is a particular way of word formations 这句话哪里错了
tclho1年前3
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好像没啥错误吧?
我想改成这样
inflection is the particular way of word formations